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Data Cube Measures: Three Categories

  • Distributive: if the result derived by applying the function to n aggregate values is the same as that derived by applying the function on all the data without partitioning
      • E.g., count(), sum(), min(), max()
  • Algebraic: if it can be computed by an algebraic function with M arguments (where M is a bounded integer), each of which is obtained by applying a distributive aggregate function
      • E.g., avg(), min_N(), standard_deviation()
  • Holistic: if there is no constant bound on the storage size needed to describe a subaggregate.
      • E.g., median(), mode(), rank()

Speaker notes:

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